Chapter 4.3, Problem 80E

Russian Oil Revenues The price of crude oil during the period 2000–2010 can be approximated by

$P\left(t\right)=6t+18\text{ dolloars per barrel }\left(0\le t\le 10\right)$

In year t, where $t=0$ represents2000.Russia’s crude oil production over the same period can be approximated by

$P\left(t\right)=-0.086t^2+1.2t+5.5\text{ million barrels per day }\left(0\le t\le 10\right)$

Use these models to estimate Russia’s daily oil revenue and also its rate of change in 2005. (Round your answers to the nearest $1 million.)